Даны точки а(3; -2), в(1; -1), с(-1; 1) найдите: 1. модули векторов ва и вс 2. координаты векторов мр=4ва-вс 3. скалярное произведение векторов ва и вс 4. косинус угла между векторами ва и вс
This autumn my mother, sister and me traveled to Spain. It took us much time to get to Spain, but it was worth it. I was very surprised to find out that the weather in Spain is hot, because in Russia it was too cold. Many people in Spain do not speak Russian, many people wear very simple clothes, and it was difficult to get used to. There we met many children. We did not notice that they did not understand us. We were friends and played together. My family and I often walked along the streets. It was wonderful. Streets in Spain are very clean. We also visited a large aquarium. There we saw different fishes, sharks, and rays. We spent two weeks in Spain. When we came back to Russia it was already snowing here. I enjoyed the trip.
Пусть прямая а будет прямой АС, а прямая b прямой ВК, секущая - МО. МО пересекает АС в точке Р, а ВК - в точке Х. Пусть угол АРМ=5 углов МРС. Пусть угол МРС=у, тогда угол АРМ=5у. Угол МРС = угол АРО как вертикальный, равен углу МХК как соответственный и равен углу ВХО, потому что он вертикален углу МХК. Аналогично угол АРМ=угол ХРС = угол ВХР = угол ОХК. Углы АРМ и МРС смежные, значит, 5у+у=160, 6у=180, у=30. Значит, угол МРС и равные ему равны 30 градусов, а угол АРМ и равные ему равны 150 градусов.
